3 papers
math.NA2025
Entropic approximations of the semigeostrophic shallow water equations
Jean-David Benamou, Colin J. Cotter, Jacob J. M. Francis +1
We develop a discretisation of the semigeostrophic rotating shallow water equations, based upon their optimal transport formulation. This takes the form of a Moreau-Yoshida regular…
math.OC2024
Entropic Semi-Martingale Optimal Transport
Jean-David Benamou, Guillaume Chazareix, Marc Hoffmann +2
Entropic Optimal Transport (EOT), also referred to as the Schrödinger problem, seeks to find a random processes with prescribed initial/final marginals and with minimal relative e…
math.OC2024
From entropic transport to martingale transport, and applications to model calibration
Jean-David Benamou, Guillaume Chazareix, Grégoire Loeper
We propose a discrete time formulation of the semi-martingale optimal transport problem based on multi-marginal entropic transport. This approach offers a new way to formulate and…